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Russian Microelectronics

Locating a photon: Position observables and an uncertainty relation

Alexander Semenovich Holevo

Published Jan 1, 2006• 3 citations
Publisher

Abstract

This paper is written in celebration of Kamil A. Valiev’s 75th birthday and 50-year career. His wide-ranging work includes running workshops on quantum information science at the Academy’s Institute of Physics and Technology, events that invariably attract experts and beginners alike. He often gives thought-provoking talks in which issues of quantum mechanics are considered from an unusual angle. A series of lectures on the theory of the photon provided a basis for the present theoretical study dealing with the long-standing question of how to locate a photon. This topic has acquired a new dimension with the task of manipulating photons, individually or collectively, for the purposes of quantum cryptography.

DOI
10.1134/s1063739706010033

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This paper is written in celebration of Kamil A. Valiev’s 75th birthday and 50-year career. His wide-ranging work includes running workshops on quantum information science at the Academy’s Institute of Physics and Technology, events that invariably attract experts and beginners alike. He often gives thought-provoking talks in which issues of quantum mechanics are considered from an unusual angle. A series of lectures on the theory of the photon provided a basis for the present theoretical study dealing with the long-standing question of how to locate a photon. This topic has acquired a new dimension with the task of manipulating photons, individually or collectively, for the purposes of quantum cryptography.
The Women in Mathematics Day Ireland (WIMDI) has become an annual conference since its inauguration in 2010.The conference is a multi-faceted event that includes plenary talks, academic and industrial research talks, poster sessions for students, and the centrepiece of this year's event has been the celebration and acknowledgement of Sheila Tinney's work in the mathematical sciences and marks the centenary of her birth.Dr. Sheila Tinney was the first Irish woman to receive a PhD in Mathematics, was the first female fellow of DIAS (Dublin Institute of Advanced Studies), was one of the first four women to be admitted to the Royal Irish Academy and also lectured at UCD.This year's event attracted almost 150 people from all over Ireland, and the audience at the event included girls from St Mark's Community School, students, lecturers and general public from around the country.
Much of our present understanding of the microscopic world is based on quantum mechanics. The field owes much of its existence to the venerable science of optics, since the fundamental ideas on the nature of the interaction between light and matter lie at the roots of its origin. We have now reached one century of quantum mechanics. In contrast, the splendid blossoming of quantum optics began only after the comparatively recent invention of the laser. Since then, it has become an exciting and always expanding area at the cutting-edge of research, in part because theory and experiment are more closely connected in this field than any other. Moreover, the technological distance between fundamental studies and practical applications has always been very short in quantum optics. As a result, modern engineering is increasingly based on quantum rather than classical physics; we are facing a transition similar to the one society confronted 200 years ago, at the start of the Industrial Revolution. In parallel with this, the physics community is witnessing the recent and vigorous emergence of quantum information. It aims at exploring the physical foundations of information and at developing efficient methods for processing quantum information. The questions driving this field reveal a profound change in attitude towards fundamental aspects of quantum theory. The photon turns out to be a tool extremely well suited to exploring theoretical quantum information schemes and their experimental implementations. Mirroring this continued progress has been the growth and development of the series of annual Central European Workshops on Quantum Optics (CEWQO). The series started at the beginning of the 1990s, as rather small meetings of physicists from a few countries in central-eastern Europe. In two decades, the workshops have transformed into important events that reach well beyond the original rather restricted geographical limits. The history of CEWQOs can be found in the preface to the proceedings of the 15th CEWQO ( Physica Scripta 2009 T135 011005 ). The 18th edition of CEWQO (CEWQO11) was held in Madrid in 2011. There were about 250 participants, from practically every European country. Many colleagues from other continents also joined the event, including well-established researchers in the field. This is a clear demonstration that these meetings provide an excellent chance to hear about the latest results and new directions of research. The organization of CEWQO11 was carried out by a committee consisting of members active in this topic in Madrid. From Universidad Complutense, Alberto Galindo and Luis L Sánchez-Soto; from Universidad Autónoma, Jose Calleja and Carlos Tejedor; from Universidad Politécnica, Enrique Calleja; from Universidad Carlos III, Alberto Ibort; and from the National Research Council (CSIC), Juan León and Juan J García-Ripoll. Special thanks go to the Spanish Ministry for Science and Innovation, Universidad Complutense and the Quitemad Consortium for financial support. The proceedings of the 16th CEWQO held at the University of Turku, Finland and the 17th CEWQO held at the University of St Andrews, Scotland, UK are also available ( Physica Scripta 2010 T140 and Physica Scripta 2011 T143 ). The present Topical Issue is a collection of papers presented in Madrid; they represent an illustrative sample of the major achievements and trends in this area. In turn, they reflect the wide range of interests in this rapidly evolving field. Some collaborators from different scientific centres who could not, due to different reasons, come to Madrid, but participated in previous CEWQOs and plan to participate in future CEWQOs, also contributed to this issue. The papers are arranged alphabetically by the name of the first author. Special thanks goes to Roger Wäppling, the Managing Editor of Physica Scripta , and Graeme Watt, the Publisher, for the opportunity to publish CEWQO11. From a Physica Scripta Editorial Board meeting it was decided that Physica Scripta could offer a poster prize (200 euros + certificate) for young scientists (less than 30 years old) at the annual CEWQO conference. A panel of experts was formed to judge the posters which included Apostol Vourdas, University of Bradford, UK (Chairman), Alberto Ibort, University Carlos III of Madrid, Spain, Andrei Klimov, University of Guadalajara, Mexico, Margarita A Man'ko, P N Lebedev Physical Institute, Moscow, Russia and Antonino Messina, University of Palermo, Italy. The poster ''How can we check the uncertainty relation?'' by Vladimir Chernega, PhD student of the P N Lebedev Physical Institute, won the prize. The 19th Central European Workshop on Quantum Optics will be held in Sinaia, Romania on 2–6 July 2012. It will be chaired by Professor Aurelian Isar from the Horia Hulubei National Institute for Research and Development in Physics and Nuclear Engineering, Bucharest.
Martin C. Gutzwiller has made groundbreaking contributions in several fundamental areas of physics. These works range from the Gutzwiller wave function for strongly correlated electrons to the likewise eponymous trace formula, powerful for quantization of chaotic systems, and mathematical studies of the orbit of the moon. His interests also include the history of classical and quantum mechanics. In recognition of the high esteem that Martin enjoys among his peers, we tried to reach out to those who have been inspired by Martin's works and put forth a festschrift honoring our distinguished colleague on the occasion of his 75th birthday in October of 2000 in the following few special issues of Foundations of Physics. The first issue contains a collection of papers related to Solid State Physics, and the remaining issues will cover mostly other areas of physics. All the contributions appearing in the Gutzwiller special issues are invited papers dedicated to Martin Gutzwiller. We are delighted to be able to celebrate Martin's 75th birthday together in this festschrift. Martin, Happy Birthday and Many Happy Returns!